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一类基于非单调信赖域技术的信赖域修正算法

A Trust Region Correction Algorithm Based on the Nonmonotone Trust Region Technology
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摘要 基于传统信赖域算法,为了解决约束最优化问题,利用非单调信赖域技术调整信赖域半径,矫正罚参数,提出了一种信赖域的修正算法,给出了收敛性证明.数值实验表明了算法的有效性. Based on the traditional trust region algorithms,a kind of correction algorithm for constraint optimization problem was given.The algorithm adjusts the trust region radius by using nonmonotone trust region technology and corrects the penalty parameters,proves of the astringency were also given.At last,numerical experiment shows that the algorithm is efficient.
作者 刘芳 单锐
出处 《甘肃联合大学学报(自然科学版)》 2010年第5期16-20,共5页 Journal of Gansu Lianhe University :Natural Sciences
关键词 约束最优化 信赖域算法 非单调信赖域技术 罚参数 收敛性 constraint optimization the trust region algorithm nonmonotone trust region technology penalty parameters convergence
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参考文献3

  • 1袁亚湘,孙文瑜.最优化理论与方法[M].上海:科学出版社,2003:241-384.
  • 2TOINT P L. A nonmonotone trust region algorithm for nonlinear programming subject to convex constraints[J].Mathematiocal programming, 1997 (7) : 69-94.
  • 3ULBRICH M. Monmonotone trust region methods for bound-constrained sembsmooth equation with application to monlinear complementarity problems [J]. SLAM J O ptim,2001,11(4) :889-917.

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